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GCD of 490, 280, 253, 432 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 490, 280, 253, 432 quickly. Get the easiest ways to solve the greatest common divisor of 490, 280, 253, 432 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 490, 280, 253, 432 with Factoring?

Given Input numbers are 490, 280, 253, 432

In the factoring method, we have to find the divisors of all numbers

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432


GCD of numbers is the greatest common divisor

So, the GCD (490, 280, 253, 432) = 1.

Find GCD of 490, 280, 253, 432 using Prime Factorization

Given numbers are 490, 280, 253, 432

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 253 are 11 x 23

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 490, 280, 253, 432 using LCM Formula

Given numbers are 490, 280, 253, 432

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(490, 280) = 1960

GCD(490, 280) = ( 490 x 280 ) / 1960

= 490 / 280

= 490


Step2:

LCM(70, 253) = 17710

GCD(70, 253) = ( 70 x 253 ) / 17710

= 70 / 253

= 70


Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1


So, Greatest Common Divisor of 490, 280, 253, 432 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 490, 280, 253, 432

Given numbers are 490, 280, 253, 432
The greatest common divisor of numbers 490, 280, 253, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 280, 253, 432 is 1.

FAQs on GCD of 490, 280, 253, 432 Calculator

1. What is the GCD of 490, 280, 253, 432?

GCD of given numbers 490, 280, 253, 432 is 1


2. How to calculate the greatest common divisor of 490, 280, 253, 432?

We can find the highest common divisor of 490, 280, 253, 432 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 490, 280, 253, 432 i.e 1.


3. How can I use the GCD of 490, 280, 253, 432Calculator?

Out the numbers 490, 280, 253, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.